Basic Math Examples

$\frac{4.8}{k} = 8$

Step 1

Find the LCD of the terms in the equation.

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Step 1.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$k, 1$

Step 1.2

The LCM of one and any expression is the expression.

$k$

Step 2

Multiply each term in $\frac{4.8}{k} = 8$ by $k$ to eliminate the fractions.

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Step 2.1

Multiply each term in $\frac{4.8}{k} = 8$ by $k$ .

$\frac{4.8}{k} k = 8 k$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $k$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4.8}{k} k = 8 k$

Step 2.2.1.2

Rewrite the expression.

$4.8 = 8 k$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as $8 k = 4.8$ .

$8 k = 4.8$

Step 3.2

Divide each term in $8 k = 4.8$ by $8$ and simplify.

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Step 3.2.1

Divide each term in $8 k = 4.8$ by $8$ .

$\frac{8 k}{8} = \frac{4.8}{8}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $8$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{8 k}{8} = \frac{4.8}{8}$

Step 3.2.2.1.2

Divide $k$ by $1$ .

$k = \frac{4.8}{8}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $4.8$ by $8$ .

$k = 0.6$